11220013213201 has 12 divisors (see below), whose sum is σ = 12171294220572. Its totient is φ = 10338341048256.

The previous prime is 11220013213181. The next prime is 11220013213207. The reversal of 11220013213201 is 10231231002211.

It can be written as a sum of positive squares in 6 ways, for example, as 1465978522176 + 9754034691025 = 1210776^2 + 3123145^2 .

It is not a de Polignac number, because 11220013213201 - 2¹⁵ = 11220013180433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11220013213207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59502466 + ... + 59690731.

It is an arithmetic number, because the mean of its divisors is an integer number (1014274518381).

Almost surely, 2^{11220013213201} is an apocalyptic number.

It is an amenable number.

11220013213201 is a deficient number, since it is larger than the sum of its proper divisors (951281007371).

11220013213201 is a wasteful number, since it uses less digits than its factorization.

11220013213201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119193780 (or 119193767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11220013213201 its reverse (10231231002211), we get a palindrome (21451244215412).

The spelling of 11220013213201 in words is "eleven trillion, two hundred twenty billion, thirteen million, two hundred thirteen thousand, two hundred one".